Question

A charged particle is moving with velocity v in a magnetic field of induction B. The force on the particle will be maximum when

• A. v and B are in the same direction
• B. v and B are in opposite directions
• C. v and B are perpendicular
• D. v and B are at an angle of $45 ^ { \circ }$

Answer 1

Answer: (C)

v and B are perpendicular

Answer 2

Lorentz force $F = q ( v \times B )$ or $| F | = q v B \sin \theta$

F will be maximum. when $\theta = 90 ^ { \circ }$